The circumference of a cylinder is 20 inches and the volume is 600 cubic inches. Calculate the height.

Answers

Answer 1

Answer:

h = 18.88 inches

Step-by-step explanation:

Given that,

The circumference of a cylinder is 20 inches

The volume of the cylinder, V = 600 cubic inches

We need to find the height of the cylinder. We know that the volume of a cylinder is given by :

[tex]V=\pi r^2h[/tex]

r is radius

We know that,

circumference = 2πr

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}[/tex]

So,

[tex]h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}[/tex]

So, the height of the cylinder is 18.88 inches.


Related Questions

Radio station Z-100 was giving away a $100 bill to every 100th caller during a contest and
gave Jingle Ball tickets to every 40th caller. How many callers must call before someone
wins both a $100 bill and a Jingle Ball ticket?

Answers

Answer:

The answer is 200 callers

please help me if you can

Answers

Answer:

1) 160 2) 218.64

Step-by-step explanation:

v=lwh (length)×(width)×(height)÷3

1. 10× 6× 8= 480÷3

2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)

4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!!

Answers

32 is the correct answer I believe if using PEMDAS method

2204 + 11x3 + 13x2 + 2x – 8 = x + 4

Answers

Answer:

2204 + 11x3 + 13x2 + 2x – 8 = x + 4=2251

Step-by-step explanation:

Use the Distributive Property to simplify the following expression

5(7x + 1)

Answers

35x+5 is the correct answer

when u distribute u gotta multiply so get 35x+5 that's your answer.

Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe

Answers

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

I need help 6x-2y=10 x-2y=-5 solve by elimination

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]

There as we can get rid of the y-term by adding both equations.

[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

First Equation

[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Second Equation

[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

Answer

[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]

Pleaseeeeeeeee answer if you do your the best at life!!!!!

Answers

Answer:

a. -175

b. -470

c. -50

d. 400

e. 350

Step-by-step explanation:

PLEASE HELP I NEED THIS

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem is c^2=a^2+b^2. This can be applied to right triangles

h^2=x^2+y^2

Meaning the hypotenuse is equal to the square root of the sum of its squared sides.

In this case:

14^2=3^2+x^2

x^2=14^2-3^2

x^2=196-9

x^2=187

x=(187)^(1/2)

x=13.7 rounded to nearest tenth

There are 5cars and Store gets 5 more cars ​

Answers

Answer:

e

Step-by-step explanation:

e

Answer:

there are now 10 cars!

Step-by-step explanation:

-37 ≥ n - 20
What could n be??

Answers

Answer:

-78

Step-by-step explanation:

-78 - 20 = -98 which is less than -37,

im sorry this answer might be wrong i tried my best

n (is less than or equal to) -17

got time got time do that thang

Answers

Answer:

C is the answer! B and C are equivalent!

Step-by-step explanation:

C. 1/3 is equivalent to 3/9

Mrs. Cruise prepared gift baskets for her friend. She had 21 mangoes 20 apples and 14 avocados. She places the fruits in each basket with the same number of fruits in it. What is the greatest number of same fruits in every basket?​

Answers

Answer:

14

Step-by-step explanation:

I think. sorry if i am wrong

Halona walks 1.93 kilometers to a neighbor's house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers, y, Halona can walk in x minutes. Then solve your proportion for y.

Answers

Answer: Proportion - y/x = 1.93/23

Step-by-step explanation:

y= y=1.93/23x

Does this expression represent the sum 13.76 + 2.8?

fifteen and fifty-six hundredths

Answers

Answer:

False

Step-by-step explanation:

Sherona takes a 6-minute break after 24 minutes of study. Benedict takes
an 8-minute break after every 32 minutes of study. Are their ratios of study
time to break time equivalent?

Answers

Answer:

Yes they are

Step-by-step explanation:

Clark typed 720 words in 18 minutes. How many words can he type in one minute?​

Answers

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex]  Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40

I hope this helps!

720/18 = 40

He can type 40 words a minute

An expression is shown.
8 × (3.8 + 13.2) - 6

What value is equivalent to the expression?

Answers

Answer:

130

Step-by-step explanation:

3.8+13.2=17

8x17=136

136-6=130

Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class


100 points for this

Answers

Answer:

Ok... what's the question

Step-by-step explanation:

Answer:

anwser= 8 she will have 0 left

Step-by-step explanation:

each student gets 8 stickers

:)

Here are the data on how 10 randomly selected middle-school students travel to school. bus, bus, bike, car, walk, bus, car, bus, bus, walk Which frequency table correctly displays the data?

Answers

Answer:

B

Step-by-step explanation:

I just took it on edgenunity

7.92 8.055
7.9
7.98 8.072 8.027
Least to greatest

Answers

Answer:

First, we compare the given numbers using a place value chart. Since I don't have one of those, we won't be using a guide.

7.92

8.055

7.9

7.98

8.072

8.027

Comparing those, this order is the correct arrangement from least to greatest:

7.9

7.92

7.98

8.027

8.055

8.072

~Hope this helps~

CJ's garden is surrounded by a uniform width walkway . The Garden and walkway together cover an area of 320 square feet . If the dimensions of the garden are 12 feet by 16 feet determine the width of the walkway?
HELP ME!!!!!!!!!!!!!!!!!PLEASE!!!!!!!!!!!!!

Answers

Answer:

the answer is 2ft

Step-by-step explanation:

I hope its right

Answer:

the walkway is 2 feet wide

Step-by-step explanation:

x=walkway width

(12+2x)(16+2x)=320

192+24x+32x+4x^2=320

simplify

4x^2+56x+192=320

4x^2+56x-128=0

divide by 4

x^2+14x-32=0

factor

(x+16)(x-2)=0

x=-16

x=2

15 men can dig a trench og 90m in 3 hours. how long will it take 16 men to dig a trench of 48m long?

Answers

Answer:

1.5 hours  

Step-by-step explanation:

Answer:

1.5 hours

Step-by-step explanation:

15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.

90/3 = 30

Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.

30/15=2.

Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.

16x2 = 32.

Finally, we have to add 16 to get 48.

Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.

A 6 pack of Gatorade costs $6.78. What is the cost
for 1 bottle of Gatoraden

Answers

Answer: $1.13

Step-by-step explanation:

Cost of 6 pack/6 bottles=cost of 1 bottle

6.78/6=1.13

Which of the following represents 10 1/2 as a decimal?

Answers

Answer:

10.5

Step-by-step explanation:

10 1/2 = 10.5

Answer:

Its 10.5

Step-by-step explanation:

The ten is a whole number and .5 is 5/10 or a half.

Have a great day.

5.93 _____ 5.917


A.<

B.>

C.=

Answers

Answer:

B.

Step-by-step explanation:

its b just becauseeee

Answer:

5.93 < 5.917

Hope I was right, Have a good day!

Which of the following would be considered a monomial? Select all that apply
A) A number

B)
a variable


C)
the sum of a number and one or more variables


D)
the difference of a number and one or more variables



E)
the product of a number and one or more variables

Answers

Answer:

A and B

Step-by-step explanation:

Since these both only have one term and number/variable, making it a monomial.

Im not sure how to do this math question y=2x graphing

Answers

X is the bottom and y is going up
Start at one at the bottom and times by two so 2. Do this for all the numbers on the x axis
Answers
(1,2). (2,4) (3,6) (4,8) (5,10)
Then connect these coordinates

.) 1 remote controlled cars cost $27. Fill in the blanks
of the table.

Answers

Answer:

1:27

2:54

3:81

4:108

5:135

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

A 4-pint carton of frozen yogurt costs $10.00. What is the price per quart?

Answers

Answer:

$5.00

Step-by-step explanation:

There are 2 pints per quart. This means that there are 4/2 quarts of yogurt. 2 quarts of yogurt cost $10.00, so one quart costs 10/2=$5.00

Answer:

1.25

Step-by-step explanation:

math

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